On certain metric spaces arising from euclidean spaces by a change of metric and their imbedding in Hilbert space

被引:127
作者
Schoenberg, IJ [1 ]
机构
[1] Colby Coll, Waterville, ME USA
关键词
D O I
10.2307/1968835
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
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页码:787 / 793
页数:7
相关论文
共 9 条
[1]  
Blumenthal L.M., 1933, B AM MATH SOC, V39, P423
[2]  
BLUMENTHAL LM, 1936, DUKE MATH J, V2, P396
[3]  
HADAMARD J, 1931, LECONS GEOMETRIC ELE, V1
[4]  
MENGER K, 1928, AKAD WISS WIEN AB MN, V65, P159
[5]   Remarks to Maurice Frechet's article "on the axiomatic definition of a class of space vectorially distanced and applicable to the Hilbert space [J].
Schoenberg, IJ .
ANNALS OF MATHEMATICS, 1935, 36 :724-732
[6]  
Schoenberg IJ., 1937, J LOND MATH SOC, V12, P48, DOI 10.1112/jlms/s1-12.45.48
[7]  
Szego G., 1936, AM MATH MONTHLY, V43, P246
[8]  
VONNEUMANN J, IN PRESS T AM MATH S
[9]   On certain types of continuous transformations of metric spaces [J].
Wilson, WA .
AMERICAN JOURNAL OF MATHEMATICS, 1935, 57 :62-68